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Finding the Fourth Proportional to 56,109.78, 77,361.48 and 35,933.49

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Solution

The fourth proportional to 56,109.78, 77,361.48 and 35,933.49 is: 49,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,109.78 : 77,361.48 = 35,933.49 : x
  2. Step 2: Convert to fraction form
    56,109.78/77,361.48 = 35,933.49/x
  3. Step 3: Cross multiply
    56,109.78x = 77,361.48 × 35,933.49
  4. Step 4: Simplify right side
    56,109.78x = 2,779,867,967.97
  5. Step 5: Solve for x
    x = 2,779,867,967.97/56,109.78
  6. Step 6: Final answer
    x = 49,543.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.